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Finding the Fourth Proportional to 14,294.51, 21,446.22 and 6,897.69

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Solution

The fourth proportional to 14,294.51, 21,446.22 and 6,897.69 is: 10,348.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,294.51 : 21,446.22 = 6,897.69 : x
  2. Step 2: Convert to fraction form
    14,294.51/21,446.22 = 6,897.69/x
  3. Step 3: Cross multiply
    14,294.51x = 21,446.22 × 6,897.69
  4. Step 4: Simplify right side
    14,294.51x = 147,929,377.23
  5. Step 5: Solve for x
    x = 147,929,377.23/14,294.51
  6. Step 6: Final answer
    x = 10,348.69

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.